Perepelkin, Nikolay V.2016-11-232016-11-232016Perepelkin N. V. Construction of Nonlinear Normal Modes by Shaw-Pierre via Schur Decomposition / N. V. Perepelkin // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 183-191.https://repository.kpi.kharkov.ua/handle/KhPI-Press/24844In the paper the simplification of construction of nonlinear normal vibration modes by Shaw-Pierre in power series form is considered. The simplification can be obtained via change of variables in the equations o f motion of dynamical system under consideration. This change of variables is constructed by means of so-called ordered Schur matrix decomposition. As the result of the transformation there is no need in solving nonlinear algebraic equations in order to evaluate coefficients of nonlinear normal mode.ennonlinear normal modesmatrix transformationSchur decompositionArticle